JEE Mains · Physics · STD 12 - 10. Wave optics
Using Young's double slit experiment, a monochromatic light of wavelength \(5000\,\mathring A\) produces fringes of fringe width \(0.5 \,mm\). If another monochromatic light of wavelength \(6000\,\mathring A\) is used and the separation between the slits is doubled, then the new fringe width will be ............... \(mm\)
- A \(0.5\)
- B \(1.0\)
- C \(0.6\)
- D \(0.3\)
Answer & Solution
Correct Answer
(D) \(0.3\)
Step-by-step Solution
Detailed explanation
Fringe width \(\beta=\frac{ D \lambda}{ d }\) \(\lambda_{1}=5000 \,\mathring A\) \(\beta_{1}=\frac{ D }{ d }\left(5000 \times 10^{-10}\right)=5 \times 10^{-4} \,m\)......\((I)\) \(\beta_{2}=\frac{ D }{(2 d )}\left(6000 \times 10^{-10}\right)= x \text { (let) }\).....\((II)\)…
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